Outlines of Theoretical Logic |
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Page 37
... Z ( or Z is X ) . If X is Y Y is Z ( or Z is Y ) . If X is Y Z is W ( or W is Z ) . In all these forms , the latter proposition is con- sequentially dependent on the former . Disjunctive propositions are of the following forms : Either X is ...
... Z ( or Z is X ) . If X is Y Y is Z ( or Z is Y ) . If X is Y Z is W ( or W is Z ) . In all these forms , the latter proposition is con- sequentially dependent on the former . Disjunctive propositions are of the following forms : Either X is ...
Page 41
... Y Some - X is not Any - Y ( Some - X is some - Y Some - Y is not Any - X In each pair , the pro- positions may both be true at once , but they cannot both be false at once . All - Y is All - Z is Some - OF ILLATION . 41.
... Y Some - X is not Any - Y ( Some - X is some - Y Some - Y is not Any - X In each pair , the pro- positions may both be true at once , but they cannot both be false at once . All - Y is All - Z is Some - OF ILLATION . 41.
Page 51
... Z be V. Then the conjunctive illation becomes All - U is Some - V . Some - U is Some - V , which is an illation by fluxion . Again , let us resolve the disjunctive premise , W is either X , Y , or Z , into its constituent propositions ...
... Z be V. Then the conjunctive illation becomes All - U is Some - V . Some - U is Some - V , which is an illation by fluxion . Again , let us resolve the disjunctive premise , W is either X , Y , or Z , into its constituent propositions ...
Page 52
... Z it is not X or Y. If W is X or Y it is not Z. The first pair means , All cases of W is X , is all cases of W is not Y , and W is not Z. The second pair means , All cases of W is Y , is all cases of W is not X , and W is not Z. The ...
... Z it is not X or Y. If W is X or Y it is not Z. The first pair means , All cases of W is X , is all cases of W is not Y , and W is not Z. The second pair means , All cases of W is Y , is all cases of W is not X , and W is not Z. The ...
Page 59
... All - Y is Some - Z . Therefore Some - Z is not Any - X . This of course is in the third figure ; but it will be also observed that the syllogism is redundant in the subsumption , and that the same consequence would follow if the ...
... All - Y is Some - Z . Therefore Some - Z is not Any - X . This of course is in the third figure ; but it will be also observed that the syllogism is redundant in the subsumption , and that the same consequence would follow if the ...
Other editions - View all
Outlines of Theoretical Logic: Founded on the New Analytic of Sir William ... Clement Mansfield Ingleby No preview available - 2009 |
Outlines of Theoretical Logic: Founded on the New Analytic of Sir William ... C. Mansfield Ingleby No preview available - 2017 |
Common terms and phrases
affirmed or denied All-comets All-T All-U All-X All-Z All-X is All-Y All-X is Some-Y All-Y Some-Z Any-not-X Any-X Any-Z assertorial attribute bitter beer called Canon Certain-Y Certain]-Y Some-Z Church cloth concept contradictory Crown 8vo definite or indefinite different number ellipsis English Notes Examples exclusion expressed extension Fcap Fellow and Tutor Fellow of St Fellow of Trinity figure Grammar hairy illation immediate inference inductive JOHN WILLIAM COLENSO John's College language Lecturer M.A. Fellow M.A. late Fellow marks of identity MAURICE.-The middle term negation Not-X number of hairs number of objects pair Peter's College positions predicate premises proceed Professor relation Schools Second Edition sewed sign of quantity Sir William Hamilton Some-not-Y Some-vertebrates Some-X Any-Y Some-X Certain-Y Some-X is All-Y Some-X is Some-Y Some-X Some-Z species subaltern genus Subcontraries subsumption summum genus sumption Tables of Moods Theological Manuals thought tion Treatise Trinity College Tutor of St University of Cambridge words
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